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Finding the Fourth Proportional to 230,584.50, 318,206.61 and 124,600.50

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Solution

The fourth proportional to 230,584.50, 318,206.61 and 124,600.50 is: 171,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,584.50 : 318,206.61 = 124,600.50 : x
  2. Step 2: Convert to fraction form
    230,584.50/318,206.61 = 124,600.50/x
  3. Step 3: Cross multiply
    230,584.50x = 318,206.61 × 124,600.50
  4. Step 4: Simplify right side
    230,584.50x = 39,648,702,709.31
  5. Step 5: Solve for x
    x = 39,648,702,709.31/230,584.50
  6. Step 6: Final answer
    x = 171,948.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.